10277406720 has 576 divisors, whose sum is σ = 41395536000. Its totient is φ = 2309750784.

The previous prime is 10277406709. The next prime is 10277406739. The reversal of 10277406720 is 2760477201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×10277406720³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57415591 + ... + 57415769.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^10277406720 is an apocalyptic number.

10277406720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10277406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697768000).

10277406720 is an abundant number, since it is smaller than the sum of its proper divisors (31118129280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10277406720 is a wasteful number, since it uses less digits than its factorization.

10277406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 10277406720 in words is "ten billion, two hundred seventy-seven million, four hundred six thousand, seven hundred twenty".